document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=988568>Question 988568</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mary's living room is 12'x20'. She wants to buy a carpet that will leave an equal border on all sides. If the area of the border is to be 1/3 of the area of the carpet, how big a carpet should Mary buy?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #609082 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=609082\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let u be the size of the border's width at all four sides.<BR>\n" );
document.write( "The carpet area would be  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812-2u%29%2820-2u%29 ALIGN=MIDDLE  ALT=\"%2812-2u%29%2820-2u%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "The room area is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2A20 ALIGN=MIDDLE  ALT=\"12%2A20\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "The border area is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2A20-%2812-2u%29%2820-2u%29 ALIGN=MIDDLE  ALT=\"12%2A20-%2812-2u%29%2820-2u%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Border area must be one-third the area of the carpet:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2812%2A20-%2812-2u%29%2820-2u%29=%281%2F3%29%2812-2u%29%2820-2u%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%2812%2A20-%2812-2u%29%2820-2u%29=%281%2F3%29%2812-2u%29%2820-2u%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let me skip a couple of steps...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A64u-12u%5E2=240-64u%2B4u%5E2 ALIGN=MIDDLE  ALT=\"3%2A64u-12u%5E2=240-64u%2B4u%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4u%5E2-64u%2B240%2B12u%5E2-3%2A64u=0 ALIGN=MIDDLE  ALT=\"4u%5E2-64u%2B240%2B12u%5E2-3%2A64u=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16u%5E2-64u-3%2A64u%2B240=0 ALIGN=MIDDLE  ALT=\"16u%5E2-64u-3%2A64u%2B240=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16u%5E2-64%2A4u%2B240=0 ALIGN=MIDDLE  ALT=\"16u%5E2-64%2A4u%2B240=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28u%5E2-16u%2B15=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%28u%5E2-16u%2B15=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "Use formula for general solution of quadratic equation.  Can you finish this?\r<BR>\n" );
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document.write( "Discriminant is...   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%5E2 ALIGN=MIDDLE  ALT=\"14%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The form you want is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=%2816-14%29%2F2=2%2F2=1 ALIGN=MIDDLE  ALT=\"u=%2816-14%29%2F2=2%2F2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );